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26 September, 10:49

B observes that galaxies A and C are moving in opposite directions away from her, A with β = - 0.8 and C with β = + 0.6. What are the speeds of galaxies B and C as observed by someone in galaxy

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  1. 26 September, 13:51
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    Answer: Speed of galaxy B with respect to galaxy A = 0.8

    Speed of galaxy C with respect to galaxy A = 1.4

    Explanation:

    Let the speed of galaxy A with respect to galaxy B be Vab & it is equal to Va - Vb = - 0.8

    Let the speed of galaxy C with respect to galaxy B be Vcb = Vc - Vb = 0.6

    Speed of galaxy B with respect to galaxy A = Vba = Vb - Va = - Vab = - (-0.8) = 0.8

    Speed of galaxy C with respect to galaxy A = Vca = Vc - Va

    But from above, Vc - Vb = 0.6; Vc = 0.6 + Vb

    And Va - Vb = - 0.8; Va = - 0.8 + Vb

    Vca = Vc - Va = 0.6 + Vb - (-0.8 + Vb) = 0.6 + Vb + 0.8 - Vb = 0.6 + 0.8 = 1.4

    (Solved)
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